The sum of prime numbers between 90 and 100 is?

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answer is A.

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Detailed Solution

Concept- Determining the components for the range of 90 to 100:
⇒91=13×7
92: It will be divisible by 2 since it has an even number in the one's position.
⇒92=2×46
93: It will be divisible by 3 since the total of its digits is 12(9+3), which is divisible by 3.
⇒93=3×31
94: It will be divisible by 2 since the one's position has an even number.
⇒94=2×47
95 : It has 5 at its ones place and thus is divisible by 5
⇒95=5×19
96: It will be divisible by 2 since the one's position has an even number.
⇒96=2×48
⇒97=97×1
98: It will be divisible by 2 since the one's location has an even number.
⇒98=2×49
99: It will be divisible by 3 because the sum of its digits, 18(9+9), is divisible by 3.
⇒99=3×33
The only number between 90 and 100 with only the number itself and one other element is 97.
As a result, 97 will also be the result of adding all prime numbers between 90 and 100.
Hence, the correct option is 1.
[1]remove unnecessary content
[2]remove unnecessary content

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